• 제목/요약/키워드: anisotropic yield function

검색결과 48건 처리시간 0.029초

초기 형상 불안정성 기반 성형한계선도의 이론적 변수에 따른 성형 한계영역 평가 (Evaluation of Analytical Parameters on Forming Limit Diagram based on Initial Geometrical Instability)

  • 노학곤;이병언;김정;강범수;송우진
    • 소성∙가공
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    • 제23권4호
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    • pp.199-205
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    • 2014
  • The current study examines the effect of the analytical parameter values on the theoretical forming limit diagram (FLD) based on the Marciniak-Kuczynski model (M-K model). Tensile tests were performed to obtain stress-strain curves and determine the anisotropic properties in the rolling, transverse and diagonal direction of SPCC sheet materials. The experimental forming limit curve for SPCC sheet material was obtained by limiting dome stretching tests. To predict the theoretical FLD based on the M-K model, the Hosford 79 yield function was employed. The effects of three analytical parameters - the exponent of the yield function, the initial imperfection parameter and the fracture criterion parameter - on the M-K model, were examined and the results of the theoretical FLD were compared to the experimentally measured FLD. It was found that the various analytical parameters should be carefully considered to reasonably predict the theoretical FLD. The comparison of the acceptable forming limit area between the theoretical and experimental FLD is used to compare the two diagrams.

철도터널 주변의 그라우팅 지반강화에 대한 수치모델기법 (Numerical Analysis of Reinforcement Effect with Grouting Method around Rail Tunnel)

  • 방춘석;이준석;이희업;고동춘
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2003년도 추계학술대회 논문집(II)
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    • pp.579-584
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    • 2003
  • In this study, anisotopic yield function is proposed for the numerical analysis of reinforced tunnel ground with grouting. For this, material properties of the reinforced ground both by equilibrium as well as kinematic condition along the interface and by the mean field theory of Eshelby (1957) and Zhao (1990) are compared with each other and, as a result, the advantage/disadvantage of the proposed models are summarized. Finally, reinforced ground around tunnel with grouting is analyzed numerically. A new anisotropic yield function model is shown to be more reliable than the previous one and the predicted result is agreeable with the experimental data available.

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알루미늄 합금 판재 성형성 예측을 위한 유한요소해석 프로그램 개발 (Development of finite element analysis program for aluminum alloy sheets)

  • 김성태;문명수;정완진;윤정환;김윤근
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 추계학술대회 논문집
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    • pp.291-294
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    • 2005
  • Recently, the usage of aluminum alloy is rapidly increasing in automobile industry to achieve weight reduction for fuel efficiency. However, design of forming process of aluminum is more difficult than steel because of poor formability and severe springback. Since applications of finite element analysis for the design of sheet metal forming process are actively performed, it is required to conduct proper consideration of aluminum material behavior. In this study, a plane stress yield function Yld2000(Yoon et al., 2000), proven to describe well the anisotropic behavior of aluminum alloy, is implemented for FE analysis. One element test is considered to verify the validity of implementation of Yld2000 model. In addition, cylindrical cup drawing test is performed to verify earing shape of a drawn cup.

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재료-기하비선형을 고려한 이방성 적층평판의 p-Version 유한요소해석 (p-Version Finite Element Analysis of Anisotropic Laminated Plates considering Material-Geometric Nonlinearities)

  • 홍종현;박진환;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.319-326
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed for the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted for in the sense of von Karman hypothesis. The material model Is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized for anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The Integrals of Legendre Polynomials we used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed p-version finite element model is demonstrated through several comparative points of view in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic zone

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구성모델을 이용한 재성형 이암풍화토의 비배수 전단거동 예측 (A Prediction of Undrained Shear Behavior of the Remolded Weathered Mudstone Soil Using the Constitutive Model)

  • 이상웅;추인식;김영수;김기영
    • 한국지반공학회논문집
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    • 제21권4호
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    • pp.31-40
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    • 2005
  • 본 연구에서는 이방성을 가지는 현장지반의 비배수 전단거동을 예측하기 위해 한계상태 간격비를 고려한 새로운 항복함수식을 제안하였다. 또한 수정 Cam-clay모델의 항복면 식을 이방압밀 조건에 적용할 수 있도록 수정한 새로운 소성포텐셜 함수를 적용하는 비관련 구성모델을 제안하였다. 제안모델을 적용하여 등방 및 이방압밀된 재성형 포항 이암풍화토의 비배수 전단거동을 예측하였으며, 신뢰성을 평가하기 위해 등방정규압밀된 Bankok clay 및 $K_0$ 압밀된 Drammen clay의 비배수 전단거동을 예측하였다. 그 결과 제안된 모델은 전반적인 거동을 잘 예측하는 것으로 나타났다.

연속체요소를 이용한 이방성 박판재료 성형공정의 강소성 유한요소해석 (Rigid-Plastic Finite Element Analysis of Anisotropic Sheet Metal Forming Processes by using Continuum Elements)

  • 이동우;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1997년도 추계학술대회논문집
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    • pp.24-27
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    • 1997
  • In the present work, rigid-plastic continuum elements employing the shape change and anisotropic effects are derived for the purpose of applying more realistic blankholding force condition in three-dimensional finite element analysis of sheet metal forming process. In order to incorporate the effect of shape change effectively in the derivation of finite element equation using continuum element for sheet metal forming, the convected coordinate system is introduced, rendering the analysis more rigorous and accurate. The formulation is extended to cover the orthotropic material using Hill's quadratic yield function. For the purpose of applying more realistic blankholding force condition, distributed normal and associated frictional tangent forces are employed in the blankholder, which is pressed normal and associated frictional tangent forces are employed in the blankholder, which is pressed against the flange until the resultant contact force with the blank reaches the prescribed value. As an example of sheet metal forming process coupling the effect of planar anisotropy and that of blankholding boundary condition, circular cup deep drawing has been analyzed considering both effects together.

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알루미늄薄板 의 Stretch Forming 에 관한 硏究 (A Study on the Pure Stretch Forming Of Al Sheet)

  • 김동원;권인소
    • 대한기계학회논문집
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    • 제7권1호
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    • pp.64-72
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    • 1983
  • A method of numerical analysis is proposed for the pure stretch forming of A1 sheet by hemi-spherical punch. The analysis is performed by Woo's general method under the condition of variable friction and plastic yielding is based on the new anisotropic yield function proposed by Hill. A comparison of the calculated results with experiment shows good agreement for various lubrication when the initial values of the coefficient of coulomb friction at pole are less than 0.4.

사질토의 체적팽창을 고려한 비등방경화 구성모델 : I. 정식화 (An Anisotropic Hardening Constitutive Model for Dilatancy of Cohesionless Soils : I. Formulation)

  • 오세붕;박현일;권오균
    • 한국지반공학회논문집
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    • 제20권6호
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    • pp.75-83
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    • 2004
  • 본 논문에서는 사질토의 취성적 응력-변형률 관계와 전단시 체적팽창을 고려할 수 있는 구성모델에 대한 연구를 수행하였다. 제안된 모델은 일반등방경화규칙에 의거한 비등방 경화규칙을 적용하였으며, 항복면의 형태는 응력공간에서 원통형으로 나타나는 단순한 형태로 실용적으로 적용하기 편리하도록 하였다. 또한 유동규칙을 단순화하여 구체적인 팽창률 함수를 이용하여 정의하였다. 또한 가상적인 첨두응력비를 정의하여 취성적 응력-변형률 관계를 모델링하는 것이 가능하였다. 이러한 구성모델은 수학적 정식화를 한 후 실험자료와 비교하도록 프로그램을 구현하였다. 동반논문에서는 삼축실험결과와 비교하여 검증할 것이다.

가상등가투영형상을 이용하여 피라미드형 트러스 코어를 구비한 금속샌드위치 판재의 효율적 해석기법 제안 (Introduction of Efficient FE-analysis Method Using Virtual Equivalent Projected Model (VEPM) for Metallic Sandwich Plates with Pyramidal Truss Cores)

  • 성대용;정창균;심도식;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.262-265
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    • 2007
  • Metallic sandwich plates constructed of two face sheets and low relative density cores have lightweight characteristics and various static and dynamic load bearing functions. To predict the formability and performance of these structured materials, a computationally efficient FE-analysis method incorporating virtual equivalent projected model has been newly introduced for analysis of metallic sandwich plates. Two dimensional models using the projected shapes of 3D structures have the same equivalent elastic-plastic properties with original geometries including anisotropic stiffness, yield strength and linear hardening function. The projected shapes and virtual properties of the virtual equivalent projected model have been estimated analytically with the same equivalent properties and face buckling strength of 3D pyramidal truss core.

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마찰교만용접 판재에 있어서 모재의 방향성이 성형성에 미치는 영향 (Influence of Anisotropy on Formability in Friction Stir Welded Sheet)

  • 김대용;이원로;김준형;;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 추계학술대회 논문집
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    • pp.301-303
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    • 2008
  • In order to investigate the influence of anisotropy on formability and also to obtain guidelines for the stamping process design in friction stir welded TWB (tailor welded blank), the aluminum ally 6111-T4 sheet was welded with three different types of combination: RD||RD, TD||RD and TD||TD (Here, RD and TD mean the rolling direction and transverse direction, respectively) and then hemisphere dome stretching and cylindrical cup drawing tests were carried out. In addition, the numerical analysis was performed to confirm the validity of experimental results. For the numerical analysis, the non-quadratic orthotropic yield function, Yld2004-18p was utilized to represent precise anisotropic properties.

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